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3 years ago

Quadrilateral ABCD is inscribed in the circle. Which sentence is true?

Mathematics

1 answer:

astra-53 [7]3 years ago

3 0

Answer:

A) A and B are supplementary

Step-by-step explanation:

we know that

For any inscribed quadrilateral in the circle , opposite angles will be supplementary

In this problem

Angle A and Angle B are supplementary angles

$m\angle A+m\angle C=180^o$

Angle B and Angle D are supplementary angles

$m\angle B+m\angle D=180^o$

therefore

<u><em>The sentences that are true </em></u>

A) A and B are supplementary

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Determine the number of possible outcomes when tossing one coin ,two coins ,and three coins then determine the number of possibl

m_a_m_a [10]

Number of possible outcome for tossing N coins = $2^N$

Solution:

Possible outcomes when tossing one coin = {H, T}

Number of possible outcomes when tossing one coin = 2 $=2^1$

Possible outcomes when tossing two coins = {HH, HT, TH, TT}

Number of possible outcomes when tossing two coins = 4 $=2^2$

Possible outcomes when tossing three coins

= {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}

Number of possible outcomes when tossing three coins = 8 $=2^3$

Therefore, the sequence obtained is $2^1, 2^2, 2^3$ .

If continue this sequence, we can obtain number of possible outcome for tossing N coins is $2^N$ .

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3 years ago

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Alekssandra [29.7K]

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Sliva [168]

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sveticcg [70]

Answer:

Step-by-step explanation:

The existence of the constant rate of change is given the ratio of y to x is the same. Then:

$k_{1} = \frac{80}{5}$

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$k_{2} = 16$

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$k_{3} = 16$

In consequence, the constant rate of change is 16.

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3 years ago